Safer Design by Tube Rupture Analysis

M. Kulkarni, Tongyuan Song
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Abstract

When a tube ruptures in a shell and tube heat exchanger, the effect of liquid hammering may induce very high transient pressure on shell side due to the leaked mass from tube side travelling to shell side. This article describes a novel technical approach to adequately translate the volume displacement effect by the leaked mass from tube side onto the shell side holdup volume in the unit. The transient pressure from the liquid hammering effect is then accurately predicted by a first principle simulator, and proper mitigation measures may be identified to meet safety requirement while minimizing capital cost. While assuming tube side pressure at tube sheet location remains constant, the mass flow rate profile through the ruptured tube as function of downstream (shell side) local pressure is determined according to industry standards and/or project standards. This profile is then transformed to volumetric flow rate profile displacing shell side hold up volume as function of time in milliseconds time scale. The resulting volumetric profile is then applied to a first principle simulator to predict the transient pressure as a result of liquid hammering effect. The mitigation measure, if any, may be at the same time tested and refined by the simulator. The constraints imposed by the project are iteratively evaluated, and adjusted if necessary, to achieve the best reconciliation among factors of capital cost, safety requirement and project schedule etc. In this article, a compressor discharge after cooler of double shells, with one stacked on top of another, is used for the discussion. Furthermore, the scope of the model extends to include the surrounding piping, and include any considerable lead line length to the relief device. The details of the exchanger geometry, including internal components such as the baffles, bundle type, nozzle etc. are modeled with adequate resolution. The pressure wave propagation along the path of shell side flow in milliseconds time scale are simulated and the localized peak pressures are reported. The high peak pressure necessitates a mitigation measure to be implemented, while maintaining the proposed shell side design pressure to stay for this particular unit. Note that this type of study, for safety concerns, it could result in elevated shell side design pressure, even after considering mitigation measure, leading to major changes to associated supply and return piping, resulting in cost and schedule delays. The technical approach illustrated in this article describes the work flow to transform the mapping of mass flow rate as a function of pressure to volumetric flow rate as a function of time in milliseconds time scale, a technique considered as the first time to be introduced into the practice. The approach increases the fidelity of the study greatly, resulting in reduced capital cost as much as possible, while largely mitigating safety concerns. The approach also affords us to test multiple configurations of pipe size, pipe routing, relief device response, and shell layouts iteratively in a relatively short period of time to optimize the design.
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基于管道破裂分析的安全设计
在管壳式换热器中,当管道破裂时,由于泄漏的质量从管侧向壳侧移动,液体锤击的作用会在壳侧产生很高的瞬态压力。本文介绍了一种新的技术方法,可以充分地将管道侧泄漏质量对机组壳侧滞留体积的体积位移效应转化为壳体侧滞留体积。然后通过第一性原理模拟器准确预测液体锤击效应的瞬态压力,并确定适当的缓解措施,以满足安全要求,同时最大限度地降低投资成本。假设管板位置的管侧压力保持不变,则通过破裂管的质量流量曲线随下游(壳侧)局部压力的函数根据行业标准和/或项目标准确定。然后将该剖面转换为体积流速剖面,以毫秒为时间尺度取代壳侧保持体积的时间函数。然后将所得的体积剖面应用于第一性原理模拟器,以预测液体锤击效应导致的瞬态压力。缓解措施(如果有的话)可以同时由模拟器进行测试和改进。对项目所施加的约束进行迭代评估,并在必要时进行调整,以实现资金成本、安全要求和项目进度等因素之间的最佳协调。本文以双壳叠置冷却器后的压缩机排气为例进行讨论。此外,该模型的适用范围扩展到包括周围的管道,并包括到安全阀的任何相当长的引线。换热器几何形状的细节,包括内部部件,如挡板、管束类型、喷嘴等,以足够的分辨率进行建模。在毫秒时间尺度上模拟了压力波沿壳侧流动路径的传播,并报道了局域峰值压力。高峰值压力需要采取缓解措施,同时保持该特定机组的拟议壳侧设计压力。请注意,出于安全考虑,这种类型的研究可能会导致壳侧设计压力升高,即使在考虑了缓解措施之后,也会导致相关的供应和回水管道发生重大变化,从而导致成本和进度延迟。本文阐述的技术方法描述了将质量流量作为压力函数的映射转换为以毫秒为时间尺度的体积流量作为时间函数的工作流程,这被认为是首次引入实践的技术。该方法极大地提高了研究的保真度,从而尽可能地降低了资本成本,同时在很大程度上减轻了安全问题。该方法还使我们能够在相对较短的时间内迭代测试多种配置的管道尺寸、管道路由、泄压装置响应和壳体布局,以优化设计。
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